What is the Least Common Multiple of 79260 and 79265?

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 79260 and 79265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79260 and 79265, than apply into the LCM equation.

GCF(79260,79265) = 5
LCM(79260,79265) = ( 79260 × 79265) / 5
LCM(79260,79265) = 6282543900 / 5
LCM(79260,79265) = 1256508780

Least Common Multiple (LCM) of 79260 and 79265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79260 and 79265. First we will calculate the prime factors of 79260 and 79265.

Prime Factorization of 79260

Prime Factorization of 79265

Now multiplying the highest exponent prime factors to calculate the LCM of 79260 and 79265.

LCM(79260,79265) = 2² × 3¹ × 5¹ × 1321¹ × 83¹ × 191¹
LCM(79260,79265) = 1256508780