What is the Least Common Multiple of 77709 and 77714?

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 77709 and 77714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77709 and 77714, than apply into the LCM equation.

GCF(77709,77714) = 1
LCM(77709,77714) = ( 77709 × 77714) / 1
LCM(77709,77714) = 6039077226 / 1
LCM(77709,77714) = 6039077226

Least Common Multiple (LCM) of 77709 and 77714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77709 and 77714. First we will calculate the prime factors of 77709 and 77714.

Prime Factorization of 77709

Prime Factorization of 77714

Now multiplying the highest exponent prime factors to calculate the LCM of 77709 and 77714.

LCM(77709,77714) = 3¹ × 25903¹ × 2¹ × 7² × 13¹ × 61¹
LCM(77709,77714) = 6039077226