What is the Least Common Multiple of 22496 and 22516?

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 22496 and 22516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22496 and 22516, than apply into the LCM equation.

GCF(22496,22516) = 4
LCM(22496,22516) = ( 22496 × 22516) / 4
LCM(22496,22516) = 506519936 / 4
LCM(22496,22516) = 126629984

Least Common Multiple (LCM) of 22496 and 22516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22496 and 22516. First we will calculate the prime factors of 22496 and 22516.

Prime Factorization of 22496

Prime Factorization of 22516

Now multiplying the highest exponent prime factors to calculate the LCM of 22496 and 22516.

LCM(22496,22516) = 2⁵ × 19¹ × 37¹ × 13¹ × 433¹
LCM(22496,22516) = 126629984