What is the Least Common Multiple of 29740 and 29758?

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 29740 and 29758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29740 and 29758, than apply into the LCM equation.

GCF(29740,29758) = 2
LCM(29740,29758) = ( 29740 × 29758) / 2
LCM(29740,29758) = 885002920 / 2
LCM(29740,29758) = 442501460

Least Common Multiple (LCM) of 29740 and 29758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29740 and 29758. First we will calculate the prime factors of 29740 and 29758.

Prime Factorization of 29740

Prime Factorization of 29758

Now multiplying the highest exponent prime factors to calculate the LCM of 29740 and 29758.

LCM(29740,29758) = 2² × 5¹ × 1487¹ × 14879¹
LCM(29740,29758) = 442501460