What is the Least Common Multiple of 59714 and 59726?

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 59714 and 59726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59714 and 59726, than apply into the LCM equation.

GCF(59714,59726) = 2
LCM(59714,59726) = ( 59714 × 59726) / 2
LCM(59714,59726) = 3566478364 / 2
LCM(59714,59726) = 1783239182

Least Common Multiple (LCM) of 59714 and 59726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59714 and 59726. First we will calculate the prime factors of 59714 and 59726.

Prime Factorization of 59714

Prime Factorization of 59726

Now multiplying the highest exponent prime factors to calculate the LCM of 59714 and 59726.

LCM(59714,59726) = 2¹ × 73¹ × 409¹ × 29863¹
LCM(59714,59726) = 1783239182