What is the Least Common Multiple of 78705 and 78714?

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 78705 and 78714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78705 and 78714, than apply into the LCM equation.

GCF(78705,78714) = 9
LCM(78705,78714) = ( 78705 × 78714) / 9
LCM(78705,78714) = 6195185370 / 9
LCM(78705,78714) = 688353930

Least Common Multiple (LCM) of 78705 and 78714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78705 and 78714. First we will calculate the prime factors of 78705 and 78714.

Prime Factorization of 78705

Prime Factorization of 78714

Now multiplying the highest exponent prime factors to calculate the LCM of 78705 and 78714.

LCM(78705,78714) = 3³ × 5¹ × 11¹ × 53¹ × 2¹ × 4373¹
LCM(78705,78714) = 688353930