What is the Least Common Multiple of 29670 and 29688?

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 29670 and 29688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29670 and 29688, than apply into the LCM equation.

GCF(29670,29688) = 6
LCM(29670,29688) = ( 29670 × 29688) / 6
LCM(29670,29688) = 880842960 / 6
LCM(29670,29688) = 146807160

Least Common Multiple (LCM) of 29670 and 29688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29670 and 29688. First we will calculate the prime factors of 29670 and 29688.

Prime Factorization of 29670

Prime Factorization of 29688

Now multiplying the highest exponent prime factors to calculate the LCM of 29670 and 29688.

LCM(29670,29688) = 2³ × 3¹ × 5¹ × 23¹ × 43¹ × 1237¹
LCM(29670,29688) = 146807160