What is the Least Common Multiple of 45624 and 45632?

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 45624 and 45632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45624 and 45632, than apply into the LCM equation.

GCF(45624,45632) = 8
LCM(45624,45632) = ( 45624 × 45632) / 8
LCM(45624,45632) = 2081914368 / 8
LCM(45624,45632) = 260239296

Least Common Multiple (LCM) of 45624 and 45632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45624 and 45632. First we will calculate the prime factors of 45624 and 45632.

Prime Factorization of 45624

Prime Factorization of 45632

Now multiplying the highest exponent prime factors to calculate the LCM of 45624 and 45632.

LCM(45624,45632) = 2⁶ × 3¹ × 1901¹ × 23¹ × 31¹
LCM(45624,45632) = 260239296