What is the Least Common Multiple of 77715 and 77730?

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 77715 and 77730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77715 and 77730, than apply into the LCM equation.

GCF(77715,77730) = 15
LCM(77715,77730) = ( 77715 × 77730) / 15
LCM(77715,77730) = 6040786950 / 15
LCM(77715,77730) = 402719130

Least Common Multiple (LCM) of 77715 and 77730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77715 and 77730. First we will calculate the prime factors of 77715 and 77730.

Prime Factorization of 77715

Prime Factorization of 77730

Now multiplying the highest exponent prime factors to calculate the LCM of 77715 and 77730.

LCM(77715,77730) = 3² × 5¹ × 11¹ × 157¹ × 2¹ × 2591¹
LCM(77715,77730) = 402719130