What is the Least Common Multiple of 89942 and 89947?

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 89942 and 89947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89942 and 89947, than apply into the LCM equation.

GCF(89942,89947) = 1
LCM(89942,89947) = ( 89942 × 89947) / 1
LCM(89942,89947) = 8090013074 / 1
LCM(89942,89947) = 8090013074

Least Common Multiple (LCM) of 89942 and 89947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89942 and 89947. First we will calculate the prime factors of 89942 and 89947.

Prime Factorization of 89942

Prime Factorization of 89947

Now multiplying the highest exponent prime factors to calculate the LCM of 89942 and 89947.

LCM(89942,89947) = 2¹ × 44971¹ × 11¹ × 13¹ × 17¹ × 37¹
LCM(89942,89947) = 8090013074