What is the Least Common Multiple of 66918 and 66938?
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 66918 and 66938 is 2239678542.
LCM(66918,66938) = 2239678542
Least Common Multiple of 66918 and 66938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66918 and 66938, than apply into the LCM equation.
GCF(66918,66938) = 2
LCM(66918,66938) = ( 66918 × 66938) / 2
LCM(66918,66938) = 4479357084 / 2
LCM(66918,66938) = 2239678542
Least Common Multiple (LCM) of 66918 and 66938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66918 and 66938. First we will calculate the prime factors of 66918 and 66938.
Prime Factorization of 66918
Prime factors of 66918 are 2, 3, 19, 587. Prime factorization of 66918 in exponential form is:
66918 = 21 × 31 × 191 × 5871
Prime Factorization of 66938
Prime factors of 66938 are 2, 33469. Prime factorization of 66938 in exponential form is:
66938 = 21 × 334691
Now multiplying the highest exponent prime factors to calculate the LCM of 66918 and 66938.
LCM(66918,66938) = 21 × 31 × 191 × 5871 × 334691
LCM(66918,66938) = 2239678542
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