What is the Least Common Multiple of 79651 and 79666?

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 79651 and 79666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79651 and 79666, than apply into the LCM equation.

GCF(79651,79666) = 1
LCM(79651,79666) = ( 79651 × 79666) / 1
LCM(79651,79666) = 6345476566 / 1
LCM(79651,79666) = 6345476566

Least Common Multiple (LCM) of 79651 and 79666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79651 and 79666. First we will calculate the prime factors of 79651 and 79666.

Prime Factorization of 79651

Prime Factorization of 79666

Now multiplying the highest exponent prime factors to calculate the LCM of 79651 and 79666.

LCM(79651,79666) = 11¹ × 13¹ × 557¹ × 2¹ × 61¹ × 653¹
LCM(79651,79666) = 6345476566