What is the Least Common Multiple of 79236 and 79251?

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 79236 and 79251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79236 and 79251, than apply into the LCM equation.

GCF(79236,79251) = 3
LCM(79236,79251) = ( 79236 × 79251) / 3
LCM(79236,79251) = 6279532236 / 3
LCM(79236,79251) = 2093177412

Least Common Multiple (LCM) of 79236 and 79251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79236 and 79251. First we will calculate the prime factors of 79236 and 79251.

Prime Factorization of 79236

Prime Factorization of 79251

Now multiplying the highest exponent prime factors to calculate the LCM of 79236 and 79251.

LCM(79236,79251) = 2² × 3² × 31¹ × 71¹ × 26417¹
LCM(79236,79251) = 2093177412