What is the Least Common Multiple of 92624 and 92628?

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 92624 and 92628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92624 and 92628, than apply into the LCM equation.

GCF(92624,92628) = 4
LCM(92624,92628) = ( 92624 × 92628) / 4
LCM(92624,92628) = 8579575872 / 4
LCM(92624,92628) = 2144893968

Least Common Multiple (LCM) of 92624 and 92628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92624 and 92628. First we will calculate the prime factors of 92624 and 92628.

Prime Factorization of 92624

Prime Factorization of 92628

Now multiplying the highest exponent prime factors to calculate the LCM of 92624 and 92628.

LCM(92624,92628) = 2⁴ × 7¹ × 827¹ × 3² × 31¹ × 83¹
LCM(92624,92628) = 2144893968