What is the Least Common Multiple of 45948 and 45955?

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 45955 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 45955, than apply into the LCM equation.

GCF(45948,45955) = 7
LCM(45948,45955) = ( 45948 × 45955) / 7
LCM(45948,45955) = 2111540340 / 7
LCM(45948,45955) = 301648620

Least Common Multiple (LCM) of 45948 and 45955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45948 and 45955. First we will calculate the prime factors of 45948 and 45955.

Prime Factorization of 45948

Prime Factorization of 45955

Now multiplying the highest exponent prime factors to calculate the LCM of 45948 and 45955.

LCM(45948,45955) = 2² × 3¹ × 7¹ × 547¹ × 5¹ × 13¹ × 101¹
LCM(45948,45955) = 301648620