What is the Least Common Multiple of 83972 and 83977?

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 of 83972 and 83977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83972 and 83977, than apply into the LCM equation.

GCF(83972,83977) = 1
LCM(83972,83977) = ( 83972 × 83977) / 1
LCM(83972,83977) = 7051716644 / 1
LCM(83972,83977) = 7051716644

Least Common Multiple (LCM) of 83972 and 83977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83972 and 83977. First we will calculate the prime factors of 83972 and 83977.

Prime Factorization of 83972

Prime Factorization of 83977

Now multiplying the highest exponent prime factors to calculate the LCM of 83972 and 83977.

LCM(83972,83977) = 2² × 7¹ × 2999¹ × 79¹ × 1063¹
LCM(83972,83977) = 7051716644