What is the Least Common Multiple of 2979 and 2990?
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 2979 and 2990 is 8907210.
LCM(2979,2990) = 8907210
Least Common Multiple of 2979 and 2990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2979 and 2990, than apply into the LCM equation.
GCF(2979,2990) = 1
LCM(2979,2990) = ( 2979 × 2990) / 1
LCM(2979,2990) = 8907210 / 1
LCM(2979,2990) = 8907210
Least Common Multiple (LCM) of 2979 and 2990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2979 and 2990. First we will calculate the prime factors of 2979 and 2990.
Prime Factorization of 2979
Prime factors of 2979 are 3, 331. Prime factorization of 2979 in exponential form is:
2979 = 32 × 3311
Prime Factorization of 2990
Prime factors of 2990 are 2, 5, 13, 23. Prime factorization of 2990 in exponential form is:
2990 = 21 × 51 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 2979 and 2990.
LCM(2979,2990) = 32 × 3311 × 21 × 51 × 131 × 231
LCM(2979,2990) = 8907210
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