What is the Least Common Multiple of 94640 and 94653?

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 94640 and 94653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94640 and 94653, than apply into the LCM equation.

GCF(94640,94653) = 13
LCM(94640,94653) = ( 94640 × 94653) / 13
LCM(94640,94653) = 8957959920 / 13
LCM(94640,94653) = 689073840

Least Common Multiple (LCM) of 94640 and 94653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94640 and 94653. First we will calculate the prime factors of 94640 and 94653.

Prime Factorization of 94640

Prime Factorization of 94653

Now multiplying the highest exponent prime factors to calculate the LCM of 94640 and 94653.

LCM(94640,94653) = 2⁴ × 5¹ × 7¹ × 13² × 3² × 809¹
LCM(94640,94653) = 689073840