What is the Least Common Multiple of 78974 and 78994?

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 78974 and 78994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78974 and 78994, than apply into the LCM equation.

GCF(78974,78994) = 2
LCM(78974,78994) = ( 78974 × 78994) / 2
LCM(78974,78994) = 6238472156 / 2
LCM(78974,78994) = 3119236078

Least Common Multiple (LCM) of 78974 and 78994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78974 and 78994. First we will calculate the prime factors of 78974 and 78994.

Prime Factorization of 78974

Prime Factorization of 78994

Now multiplying the highest exponent prime factors to calculate the LCM of 78974 and 78994.

LCM(78974,78994) = 2¹ × 7¹ × 5641¹ × 127¹ × 311¹
LCM(78974,78994) = 3119236078