What is the Least Common Multiple of 87730 and 87739?

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 87730 and 87739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87730 and 87739, than apply into the LCM equation.

GCF(87730,87739) = 1
LCM(87730,87739) = ( 87730 × 87739) / 1
LCM(87730,87739) = 7697342470 / 1
LCM(87730,87739) = 7697342470

Least Common Multiple (LCM) of 87730 and 87739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87730 and 87739. First we will calculate the prime factors of 87730 and 87739.

Prime Factorization of 87730

Prime Factorization of 87739

Now multiplying the highest exponent prime factors to calculate the LCM of 87730 and 87739.

LCM(87730,87739) = 2¹ × 5¹ × 31¹ × 283¹ × 87739¹
LCM(87730,87739) = 7697342470