What is the Least Common Multiple of 87919 and 87937?

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 87919 and 87937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87919 and 87937, than apply into the LCM equation.

GCF(87919,87937) = 1
LCM(87919,87937) = ( 87919 × 87937) / 1
LCM(87919,87937) = 7731333103 / 1
LCM(87919,87937) = 7731333103

Least Common Multiple (LCM) of 87919 and 87937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87919 and 87937. First we will calculate the prime factors of 87919 and 87937.

Prime Factorization of 87919

Prime Factorization of 87937

Now multiplying the highest exponent prime factors to calculate the LCM of 87919 and 87937.

LCM(87919,87937) = 13¹ × 6763¹ × 47¹ × 1871¹
LCM(87919,87937) = 7731333103