What is the Least Common Multiple of 59406 and 59422?

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 59406 and 59422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59406 and 59422, than apply into the LCM equation.

GCF(59406,59422) = 2
LCM(59406,59422) = ( 59406 × 59422) / 2
LCM(59406,59422) = 3530023332 / 2
LCM(59406,59422) = 1765011666

Least Common Multiple (LCM) of 59406 and 59422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59406 and 59422. First we will calculate the prime factors of 59406 and 59422.

Prime Factorization of 59406

Prime Factorization of 59422

Now multiplying the highest exponent prime factors to calculate the LCM of 59406 and 59422.

LCM(59406,59422) = 2¹ × 3¹ × 9901¹ × 11¹ × 37¹ × 73¹
LCM(59406,59422) = 1765011666