What is the Least Common Multiple of 73974 and 73979?

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 73974 and 73979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73974 and 73979, than apply into the LCM equation.

GCF(73974,73979) = 1
LCM(73974,73979) = ( 73974 × 73979) / 1
LCM(73974,73979) = 5472522546 / 1
LCM(73974,73979) = 5472522546

Least Common Multiple (LCM) of 73974 and 73979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73974 and 73979. First we will calculate the prime factors of 73974 and 73979.

Prime Factorization of 73974

Prime Factorization of 73979

Now multiplying the highest exponent prime factors to calculate the LCM of 73974 and 73979.

LCM(73974,73979) = 2¹ × 3¹ × 12329¹ × 29¹ × 2551¹
LCM(73974,73979) = 5472522546