What is the Least Common Multiple of 94760 and 94768?

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 94760 and 94768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94760 and 94768, than apply into the LCM equation.

GCF(94760,94768) = 8
LCM(94760,94768) = ( 94760 × 94768) / 8
LCM(94760,94768) = 8980215680 / 8
LCM(94760,94768) = 1122526960

Least Common Multiple (LCM) of 94760 and 94768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94760 and 94768. First we will calculate the prime factors of 94760 and 94768.

Prime Factorization of 94760

Prime Factorization of 94768

Now multiplying the highest exponent prime factors to calculate the LCM of 94760 and 94768.

LCM(94760,94768) = 2⁴ × 5¹ × 23¹ × 103¹ × 5923¹
LCM(94760,94768) = 1122526960