What is the Least Common Multiple of 29720 and 29736?

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 29720 and 29736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29720 and 29736, than apply into the LCM equation.

GCF(29720,29736) = 8
LCM(29720,29736) = ( 29720 × 29736) / 8
LCM(29720,29736) = 883753920 / 8
LCM(29720,29736) = 110469240

Least Common Multiple (LCM) of 29720 and 29736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29720 and 29736. First we will calculate the prime factors of 29720 and 29736.

Prime Factorization of 29720

Prime Factorization of 29736

Now multiplying the highest exponent prime factors to calculate the LCM of 29720 and 29736.

LCM(29720,29736) = 2³ × 5¹ × 743¹ × 3² × 7¹ × 59¹
LCM(29720,29736) = 110469240