What is the Least Common Multiple of 73974 and 73989?

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 73989 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 73989, than apply into the LCM equation.

GCF(73974,73989) = 3
LCM(73974,73989) = ( 73974 × 73989) / 3
LCM(73974,73989) = 5473262286 / 3
LCM(73974,73989) = 1824420762

Least Common Multiple (LCM) of 73974 and 73989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73974 and 73989. First we will calculate the prime factors of 73974 and 73989.

Prime Factorization of 73974

Prime Factorization of 73989

Now multiplying the highest exponent prime factors to calculate the LCM of 73974 and 73989.

LCM(73974,73989) = 2¹ × 3² × 12329¹ × 8221¹
LCM(73974,73989) = 1824420762