What is the Least Common Multiple of 43998 and 44014?

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 43998 and 44014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43998 and 44014, than apply into the LCM equation.

GCF(43998,44014) = 2
LCM(43998,44014) = ( 43998 × 44014) / 2
LCM(43998,44014) = 1936527972 / 2
LCM(43998,44014) = 968263986

Least Common Multiple (LCM) of 43998 and 44014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43998 and 44014. First we will calculate the prime factors of 43998 and 44014.

Prime Factorization of 43998

Prime Factorization of 44014

Now multiplying the highest exponent prime factors to calculate the LCM of 43998 and 44014.

LCM(43998,44014) = 2¹ × 3¹ × 7333¹ × 59¹ × 373¹
LCM(43998,44014) = 968263986