What is the Least Common Multiple of 45880 and 45888?

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 45880 and 45888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45880 and 45888, than apply into the LCM equation.

GCF(45880,45888) = 8
LCM(45880,45888) = ( 45880 × 45888) / 8
LCM(45880,45888) = 2105341440 / 8
LCM(45880,45888) = 263167680

Least Common Multiple (LCM) of 45880 and 45888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45880 and 45888. First we will calculate the prime factors of 45880 and 45888.

Prime Factorization of 45880

Prime Factorization of 45888

Now multiplying the highest exponent prime factors to calculate the LCM of 45880 and 45888.

LCM(45880,45888) = 2⁶ × 5¹ × 31¹ × 37¹ × 3¹ × 239¹
LCM(45880,45888) = 263167680