What is the Least Common Multiple of 94755 and 94760?

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 94755 and 94760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94755 and 94760, than apply into the LCM equation.

GCF(94755,94760) = 5
LCM(94755,94760) = ( 94755 × 94760) / 5
LCM(94755,94760) = 8978983800 / 5
LCM(94755,94760) = 1795796760

Least Common Multiple (LCM) of 94755 and 94760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94755 and 94760. First we will calculate the prime factors of 94755 and 94760.

Prime Factorization of 94755

Prime Factorization of 94760

Now multiplying the highest exponent prime factors to calculate the LCM of 94755 and 94760.

LCM(94755,94760) = 3¹ × 5¹ × 6317¹ × 2³ × 23¹ × 103¹
LCM(94755,94760) = 1795796760