What is the Least Common Multiple of 87039 and 87058?

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 87039 and 87058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87039 and 87058, than apply into the LCM equation.

GCF(87039,87058) = 19
LCM(87039,87058) = ( 87039 × 87058) / 19
LCM(87039,87058) = 7577441262 / 19
LCM(87039,87058) = 398812698

Least Common Multiple (LCM) of 87039 and 87058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87039 and 87058. First we will calculate the prime factors of 87039 and 87058.

Prime Factorization of 87039

Prime Factorization of 87058

Now multiplying the highest exponent prime factors to calculate the LCM of 87039 and 87058.

LCM(87039,87058) = 3² × 19¹ × 509¹ × 2¹ × 29¹ × 79¹
LCM(87039,87058) = 398812698