What is the Least Common Multiple of 44970 and 44988?

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 44970 and 44988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44970 and 44988, than apply into the LCM equation.

GCF(44970,44988) = 6
LCM(44970,44988) = ( 44970 × 44988) / 6
LCM(44970,44988) = 2023110360 / 6
LCM(44970,44988) = 337185060

Least Common Multiple (LCM) of 44970 and 44988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44970 and 44988. First we will calculate the prime factors of 44970 and 44988.

Prime Factorization of 44970

Prime Factorization of 44988

Now multiplying the highest exponent prime factors to calculate the LCM of 44970 and 44988.

LCM(44970,44988) = 2² × 3¹ × 5¹ × 1499¹ × 23¹ × 163¹
LCM(44970,44988) = 337185060