What is the Least Common Multiple of 58749 and 58769?

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 58749 and 58769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58749 and 58769, than apply into the LCM equation.

GCF(58749,58769) = 1
LCM(58749,58769) = ( 58749 × 58769) / 1
LCM(58749,58769) = 3452619981 / 1
LCM(58749,58769) = 3452619981

Least Common Multiple (LCM) of 58749 and 58769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58749 and 58769. First we will calculate the prime factors of 58749 and 58769.

Prime Factorization of 58749

Prime Factorization of 58769

Now multiplying the highest exponent prime factors to calculate the LCM of 58749 and 58769.

LCM(58749,58769) = 3¹ × 19583¹ × 17¹ × 3457¹
LCM(58749,58769) = 3452619981