What is the Least Common Multiple of 76460 and 76475?

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 76475 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 76475, than apply into the LCM equation.

GCF(76460,76475) = 5
LCM(76460,76475) = ( 76460 × 76475) / 5
LCM(76460,76475) = 5847278500 / 5
LCM(76460,76475) = 1169455700

Least Common Multiple (LCM) of 76460 and 76475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76460 and 76475. First we will calculate the prime factors of 76460 and 76475.

Prime Factorization of 76460

Prime Factorization of 76475

Now multiplying the highest exponent prime factors to calculate the LCM of 76460 and 76475.

LCM(76460,76475) = 2² × 5² × 3823¹ × 7¹ × 19¹ × 23¹
LCM(76460,76475) = 1169455700