What is the Least Common Multiple of 29658 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 29658 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 29658 and 29670, than apply into the LCM equation.

GCF(29658,29670) = 6
LCM(29658,29670) = ( 29658 × 29670) / 6
LCM(29658,29670) = 879952860 / 6
LCM(29658,29670) = 146658810

Least Common Multiple (LCM) of 29658 and 29670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29658 and 29670. First we will calculate the prime factors of 29658 and 29670.

Prime Factorization of 29658

Prime Factorization of 29670

Now multiplying the highest exponent prime factors to calculate the LCM of 29658 and 29670.

LCM(29658,29670) = 2¹ × 3¹ × 4943¹ × 5¹ × 23¹ × 43¹
LCM(29658,29670) = 146658810