What is the Least Common Multiple of 76460 and 76477?

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 76460 and 76477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76460 and 76477, than apply into the LCM equation.

GCF(76460,76477) = 1
LCM(76460,76477) = ( 76460 × 76477) / 1
LCM(76460,76477) = 5847431420 / 1
LCM(76460,76477) = 5847431420

Least Common Multiple (LCM) of 76460 and 76477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76460 and 76477. First we will calculate the prime factors of 76460 and 76477.

Prime Factorization of 76460

Prime Factorization of 76477

Now multiplying the highest exponent prime factors to calculate the LCM of 76460 and 76477.

LCM(76460,76477) = 2² × 5¹ × 3823¹ × 31¹ × 2467¹
LCM(76460,76477) = 5847431420