What is the Least Common Multiple of 59677 and 59694?

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 59677 and 59694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59677 and 59694, than apply into the LCM equation.

GCF(59677,59694) = 1
LCM(59677,59694) = ( 59677 × 59694) / 1
LCM(59677,59694) = 3562358838 / 1
LCM(59677,59694) = 3562358838

Least Common Multiple (LCM) of 59677 and 59694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59677 and 59694. First we will calculate the prime factors of 59677 and 59694.

Prime Factorization of 59677

Prime Factorization of 59694

Now multiplying the highest exponent prime factors to calculate the LCM of 59677 and 59694.

LCM(59677,59694) = 83¹ × 719¹ × 2¹ × 3¹ × 9949¹
LCM(59677,59694) = 3562358838