What is the Least Common Multiple of 1979 and 1998?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 1979 and 1998 is 3954042.
LCM(1979,1998) = 3954042
Least Common Multiple of 1979 and 1998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1979 and 1998, than apply into the LCM equation.
GCF(1979,1998) = 1
LCM(1979,1998) = ( 1979 × 1998) / 1
LCM(1979,1998) = 3954042 / 1
LCM(1979,1998) = 3954042
Least Common Multiple (LCM) of 1979 and 1998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1979 and 1998. First we will calculate the prime factors of 1979 and 1998.
Prime Factorization of 1979
Prime factors of 1979 are 1979. Prime factorization of 1979 in exponential form is:
1979 = 19791
Prime Factorization of 1998
Prime factors of 1998 are 2, 3, 37. Prime factorization of 1998 in exponential form is:
1998 = 21 × 33 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 1979 and 1998.
LCM(1979,1998) = 19791 × 21 × 33 × 371
LCM(1979,1998) = 3954042
Related Least Common Multiples of 1979
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Related Least Common Multiples of 1998
- LCM of 1998 and 2002
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- LCM of 1998 and 2004
- LCM of 1998 and 2005
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