What is the Least Common Multiple of 59772 and 59789?

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 59772 and 59789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59772 and 59789, than apply into the LCM equation.

GCF(59772,59789) = 17
LCM(59772,59789) = ( 59772 × 59789) / 17
LCM(59772,59789) = 3573708108 / 17
LCM(59772,59789) = 210218124

Least Common Multiple (LCM) of 59772 and 59789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59772 and 59789. First we will calculate the prime factors of 59772 and 59789.

Prime Factorization of 59772

Prime Factorization of 59789

Now multiplying the highest exponent prime factors to calculate the LCM of 59772 and 59789.

LCM(59772,59789) = 2² × 3¹ × 17¹ × 293¹ × 3517¹
LCM(59772,59789) = 210218124