What is the Least Common Multiple of 45948 and 45968?

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 45948 and 45968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45948 and 45968, than apply into the LCM equation.

GCF(45948,45968) = 4
LCM(45948,45968) = ( 45948 × 45968) / 4
LCM(45948,45968) = 2112137664 / 4
LCM(45948,45968) = 528034416

Least Common Multiple (LCM) of 45948 and 45968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45948 and 45968. First we will calculate the prime factors of 45948 and 45968.

Prime Factorization of 45948

Prime Factorization of 45968

Now multiplying the highest exponent prime factors to calculate the LCM of 45948 and 45968.

LCM(45948,45968) = 2⁴ × 3¹ × 7¹ × 547¹ × 13² × 17¹
LCM(45948,45968) = 528034416