What is the Least Common Multiple of 92616 and 92624?

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 92616 and 92624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92616 and 92624, than apply into the LCM equation.

GCF(92616,92624) = 8
LCM(92616,92624) = ( 92616 × 92624) / 8
LCM(92616,92624) = 8578464384 / 8
LCM(92616,92624) = 1072308048

Least Common Multiple (LCM) of 92616 and 92624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92616 and 92624. First we will calculate the prime factors of 92616 and 92624.

Prime Factorization of 92616

Prime Factorization of 92624

Now multiplying the highest exponent prime factors to calculate the LCM of 92616 and 92624.

LCM(92616,92624) = 2⁴ × 3¹ × 17¹ × 227¹ × 7¹ × 827¹
LCM(92616,92624) = 1072308048