What is the Least Common Multiple of 89934 and 89942?

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 89934 and 89942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89934 and 89942, than apply into the LCM equation.

GCF(89934,89942) = 2
LCM(89934,89942) = ( 89934 × 89942) / 2
LCM(89934,89942) = 8088843828 / 2
LCM(89934,89942) = 4044421914

Least Common Multiple (LCM) of 89934 and 89942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89934 and 89942. First we will calculate the prime factors of 89934 and 89942.

Prime Factorization of 89934

Prime Factorization of 89942

Now multiplying the highest exponent prime factors to calculate the LCM of 89934 and 89942.

LCM(89934,89942) = 2¹ × 3¹ × 13¹ × 1153¹ × 44971¹
LCM(89934,89942) = 4044421914