What is the Least Common Multiple of 59789 and 59807?

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 59789 and 59807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59789 and 59807, than apply into the LCM equation.

GCF(59789,59807) = 1
LCM(59789,59807) = ( 59789 × 59807) / 1
LCM(59789,59807) = 3575800723 / 1
LCM(59789,59807) = 3575800723

Least Common Multiple (LCM) of 59789 and 59807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59789 and 59807. First we will calculate the prime factors of 59789 and 59807.

Prime Factorization of 59789

Prime Factorization of 59807

Now multiplying the highest exponent prime factors to calculate the LCM of 59789 and 59807.

LCM(59789,59807) = 17¹ × 3517¹ × 11¹ × 5437¹
LCM(59789,59807) = 3575800723