What is the Least Common Multiple of 62759 and 62779?

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 62759 and 62779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62759 and 62779, than apply into the LCM equation.

GCF(62759,62779) = 1
LCM(62759,62779) = ( 62759 × 62779) / 1
LCM(62759,62779) = 3939947261 / 1
LCM(62759,62779) = 3939947261

Least Common Multiple (LCM) of 62759 and 62779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62759 and 62779. First we will calculate the prime factors of 62759 and 62779.

Prime Factorization of 62759

Prime Factorization of 62779

Now multiplying the highest exponent prime factors to calculate the LCM of 62759 and 62779.

LCM(62759,62779) = 97¹ × 647¹ × 67¹ × 937¹
LCM(62759,62779) = 3939947261