What is the Least Common Multiple of 73978 and 73984?

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 73984 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 73984, than apply into the LCM equation.

GCF(73978,73984) = 2
LCM(73978,73984) = ( 73978 × 73984) / 2
LCM(73978,73984) = 5473188352 / 2
LCM(73978,73984) = 2736594176

Least Common Multiple (LCM) of 73978 and 73984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73978 and 73984. First we will calculate the prime factors of 73978 and 73984.

Prime Factorization of 73978

Prime Factorization of 73984

Now multiplying the highest exponent prime factors to calculate the LCM of 73978 and 73984.

LCM(73978,73984) = 2⁸ × 47¹ × 787¹ × 17²
LCM(73978,73984) = 2736594176