What is the Least Common Multiple of 29634 and 29640?

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 29634 and 29640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29634 and 29640, than apply into the LCM equation.

GCF(29634,29640) = 6
LCM(29634,29640) = ( 29634 × 29640) / 6
LCM(29634,29640) = 878351760 / 6
LCM(29634,29640) = 146391960

Least Common Multiple (LCM) of 29634 and 29640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29634 and 29640. First we will calculate the prime factors of 29634 and 29640.

Prime Factorization of 29634

Prime Factorization of 29640

Now multiplying the highest exponent prime factors to calculate the LCM of 29634 and 29640.

LCM(29634,29640) = 2³ × 3¹ × 11¹ × 449¹ × 5¹ × 13¹ × 19¹
LCM(29634,29640) = 146391960