What is the Least Common Multiple of 45968 and 45986?

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 45968 and 45986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45968 and 45986, than apply into the LCM equation.

GCF(45968,45986) = 2
LCM(45968,45986) = ( 45968 × 45986) / 2
LCM(45968,45986) = 2113884448 / 2
LCM(45968,45986) = 1056942224

Least Common Multiple (LCM) of 45968 and 45986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45968 and 45986. First we will calculate the prime factors of 45968 and 45986.

Prime Factorization of 45968

Prime Factorization of 45986

Now multiplying the highest exponent prime factors to calculate the LCM of 45968 and 45986.

LCM(45968,45986) = 2⁴ × 13² × 17¹ × 22993¹
LCM(45968,45986) = 1056942224