What is the Least Common Multiple of 59708 and 59714?

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 59708 and 59714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59708 and 59714, than apply into the LCM equation.

GCF(59708,59714) = 2
LCM(59708,59714) = ( 59708 × 59714) / 2
LCM(59708,59714) = 3565403512 / 2
LCM(59708,59714) = 1782701756

Least Common Multiple (LCM) of 59708 and 59714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59708 and 59714. First we will calculate the prime factors of 59708 and 59714.

Prime Factorization of 59708

Prime Factorization of 59714

Now multiplying the highest exponent prime factors to calculate the LCM of 59708 and 59714.

LCM(59708,59714) = 2² × 11¹ × 23¹ × 59¹ × 73¹ × 409¹
LCM(59708,59714) = 1782701756