What is the Least Common Multiple of 73978 and 73991?

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 73991 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 73991, than apply into the LCM equation.

GCF(73978,73991) = 1
LCM(73978,73991) = ( 73978 × 73991) / 1
LCM(73978,73991) = 5473706198 / 1
LCM(73978,73991) = 5473706198

Least Common Multiple (LCM) of 73978 and 73991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73978 and 73991. First we will calculate the prime factors of 73978 and 73991.

Prime Factorization of 73978

Prime Factorization of 73991

Now multiplying the highest exponent prime factors to calculate the LCM of 73978 and 73991.

LCM(73978,73991) = 2¹ × 47¹ × 787¹ × 23¹ × 3217¹
LCM(73978,73991) = 5473706198