What is the Least Common Multiple of 68740 and 68758?

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 68740 and 68758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68740 and 68758, than apply into the LCM equation.

GCF(68740,68758) = 2
LCM(68740,68758) = ( 68740 × 68758) / 2
LCM(68740,68758) = 4726424920 / 2
LCM(68740,68758) = 2363212460

Least Common Multiple (LCM) of 68740 and 68758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68740 and 68758. First we will calculate the prime factors of 68740 and 68758.

Prime Factorization of 68740

Prime Factorization of 68758

Now multiplying the highest exponent prime factors to calculate the LCM of 68740 and 68758.

LCM(68740,68758) = 2² × 5¹ × 7¹ × 491¹ × 31¹ × 1109¹
LCM(68740,68758) = 2363212460