What is the Least Common Multiple of 87759 and 87769?

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 87759 and 87769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87759 and 87769, than apply into the LCM equation.

GCF(87759,87769) = 1
LCM(87759,87769) = ( 87759 × 87769) / 1
LCM(87759,87769) = 7702519671 / 1
LCM(87759,87769) = 7702519671

Least Common Multiple (LCM) of 87759 and 87769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87759 and 87769. First we will calculate the prime factors of 87759 and 87769.

Prime Factorization of 87759

Prime Factorization of 87769

Now multiplying the highest exponent prime factors to calculate the LCM of 87759 and 87769.

LCM(87759,87769) = 3² × 7² × 199¹ × 11¹ × 79¹ × 101¹
LCM(87759,87769) = 7702519671