What is the Least Common Multiple of 73978 and 73996?

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 73996 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 73996, than apply into the LCM equation.

GCF(73978,73996) = 2
LCM(73978,73996) = ( 73978 × 73996) / 2
LCM(73978,73996) = 5474076088 / 2
LCM(73978,73996) = 2737038044

Least Common Multiple (LCM) of 73978 and 73996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73978 and 73996. First we will calculate the prime factors of 73978 and 73996.

Prime Factorization of 73978

Prime Factorization of 73996

Now multiplying the highest exponent prime factors to calculate the LCM of 73978 and 73996.

LCM(73978,73996) = 2² × 47¹ × 787¹ × 13¹ × 1423¹
LCM(73978,73996) = 2737038044