What is the Least Common Multiple of 73978 and 73997?

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 73978 and 73997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73978 and 73997, than apply into the LCM equation.

GCF(73978,73997) = 1
LCM(73978,73997) = ( 73978 × 73997) / 1
LCM(73978,73997) = 5474150066 / 1
LCM(73978,73997) = 5474150066

Least Common Multiple (LCM) of 73978 and 73997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73978 and 73997. First we will calculate the prime factors of 73978 and 73997.

Prime Factorization of 73978

Prime Factorization of 73997

Now multiplying the highest exponent prime factors to calculate the LCM of 73978 and 73997.

LCM(73978,73997) = 2¹ × 47¹ × 787¹ × 7¹ × 11¹ × 31²
LCM(73978,73997) = 5474150066