What is the Least Common Multiple of 45984 and 45998?

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 45984 and 45998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45984 and 45998, than apply into the LCM equation.

GCF(45984,45998) = 2
LCM(45984,45998) = ( 45984 × 45998) / 2
LCM(45984,45998) = 2115172032 / 2
LCM(45984,45998) = 1057586016

Least Common Multiple (LCM) of 45984 and 45998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45984 and 45998. First we will calculate the prime factors of 45984 and 45998.

Prime Factorization of 45984

Prime Factorization of 45998

Now multiplying the highest exponent prime factors to calculate the LCM of 45984 and 45998.

LCM(45984,45998) = 2⁵ × 3¹ × 479¹ × 109¹ × 211¹
LCM(45984,45998) = 1057586016