What is the Least Common Multiple of 59634 and 59645?

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 59634 and 59645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59634 and 59645, than apply into the LCM equation.

GCF(59634,59645) = 1
LCM(59634,59645) = ( 59634 × 59645) / 1
LCM(59634,59645) = 3556869930 / 1
LCM(59634,59645) = 3556869930

Least Common Multiple (LCM) of 59634 and 59645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59634 and 59645. First we will calculate the prime factors of 59634 and 59645.

Prime Factorization of 59634

Prime Factorization of 59645

Now multiplying the highest exponent prime factors to calculate the LCM of 59634 and 59645.

LCM(59634,59645) = 2¹ × 3² × 3313¹ × 5¹ × 79¹ × 151¹
LCM(59634,59645) = 3556869930