What is the Least Common Multiple of 59866 and 59879?

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 59866 and 59879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59866 and 59879, than apply into the LCM equation.

GCF(59866,59879) = 1
LCM(59866,59879) = ( 59866 × 59879) / 1
LCM(59866,59879) = 3584716214 / 1
LCM(59866,59879) = 3584716214

Least Common Multiple (LCM) of 59866 and 59879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59866 and 59879. First we will calculate the prime factors of 59866 and 59879.

Prime Factorization of 59866

Prime Factorization of 59879

Now multiplying the highest exponent prime factors to calculate the LCM of 59866 and 59879.

LCM(59866,59879) = 2¹ × 37¹ × 809¹ × 59879¹
LCM(59866,59879) = 3584716214