What is the Least Common Multiple of 53696 and 53708?

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 53696 and 53708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53696 and 53708, than apply into the LCM equation.

GCF(53696,53708) = 4
LCM(53696,53708) = ( 53696 × 53708) / 4
LCM(53696,53708) = 2883904768 / 4
LCM(53696,53708) = 720976192

Least Common Multiple (LCM) of 53696 and 53708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53696 and 53708. First we will calculate the prime factors of 53696 and 53708.

Prime Factorization of 53696

Prime Factorization of 53708

Now multiplying the highest exponent prime factors to calculate the LCM of 53696 and 53708.

LCM(53696,53708) = 2⁶ × 839¹ × 29¹ × 463¹
LCM(53696,53708) = 720976192