What is the Least Common Multiple of 59691 and 59709?

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 59691 and 59709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59691 and 59709, than apply into the LCM equation.

GCF(59691,59709) = 3
LCM(59691,59709) = ( 59691 × 59709) / 3
LCM(59691,59709) = 3564089919 / 3
LCM(59691,59709) = 1188029973

Least Common Multiple (LCM) of 59691 and 59709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59691 and 59709. First we will calculate the prime factors of 59691 and 59709.

Prime Factorization of 59691

Prime Factorization of 59709

Now multiplying the highest exponent prime factors to calculate the LCM of 59691 and 59709.

LCM(59691,59709) = 3¹ × 101¹ × 197¹ × 13¹ × 1531¹
LCM(59691,59709) = 1188029973