What is the Least Common Multiple of 59609 and 59628?

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 59609 and 59628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59609 and 59628, than apply into the LCM equation.

GCF(59609,59628) = 1
LCM(59609,59628) = ( 59609 × 59628) / 1
LCM(59609,59628) = 3554365452 / 1
LCM(59609,59628) = 3554365452

Least Common Multiple (LCM) of 59609 and 59628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59609 and 59628. First we will calculate the prime factors of 59609 and 59628.

Prime Factorization of 59609

Prime Factorization of 59628

Now multiplying the highest exponent prime factors to calculate the LCM of 59609 and 59628.

LCM(59609,59628) = 11¹ × 5419¹ × 2² × 3¹ × 4969¹
LCM(59609,59628) = 3554365452