What is the Least Common Multiple of 29652 and 29670?

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 29652 and 29670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29652 and 29670, than apply into the LCM equation.

GCF(29652,29670) = 6
LCM(29652,29670) = ( 29652 × 29670) / 6
LCM(29652,29670) = 879774840 / 6
LCM(29652,29670) = 146629140

Least Common Multiple (LCM) of 29652 and 29670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29652 and 29670. First we will calculate the prime factors of 29652 and 29670.

Prime Factorization of 29652

Prime Factorization of 29670

Now multiplying the highest exponent prime factors to calculate the LCM of 29652 and 29670.

LCM(29652,29670) = 2² × 3¹ × 7¹ × 353¹ × 5¹ × 23¹ × 43¹
LCM(29652,29670) = 146629140