What is the Least Common Multiple of 59516 and 59534?

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 59516 and 59534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59516 and 59534, than apply into the LCM equation.

GCF(59516,59534) = 2
LCM(59516,59534) = ( 59516 × 59534) / 2
LCM(59516,59534) = 3543225544 / 2
LCM(59516,59534) = 1771612772

Least Common Multiple (LCM) of 59516 and 59534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59516 and 59534. First we will calculate the prime factors of 59516 and 59534.

Prime Factorization of 59516

Prime Factorization of 59534

Now multiplying the highest exponent prime factors to calculate the LCM of 59516 and 59534.

LCM(59516,59534) = 2² × 14879¹ × 17² × 103¹
LCM(59516,59534) = 1771612772