What is the Least Common Multiple of 75460 and 75476?

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 75460 and 75476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75460 and 75476, than apply into the LCM equation.

GCF(75460,75476) = 4
LCM(75460,75476) = ( 75460 × 75476) / 4
LCM(75460,75476) = 5695418960 / 4
LCM(75460,75476) = 1423854740

Least Common Multiple (LCM) of 75460 and 75476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75460 and 75476. First we will calculate the prime factors of 75460 and 75476.

Prime Factorization of 75460

Prime Factorization of 75476

Now multiplying the highest exponent prime factors to calculate the LCM of 75460 and 75476.

LCM(75460,75476) = 2² × 5¹ × 7³ × 11¹ × 18869¹
LCM(75460,75476) = 1423854740