What is the Least Common Multiple of 29814 and 29820?

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 29814 and 29820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29814 and 29820, than apply into the LCM equation.

GCF(29814,29820) = 6
LCM(29814,29820) = ( 29814 × 29820) / 6
LCM(29814,29820) = 889053480 / 6
LCM(29814,29820) = 148175580

Least Common Multiple (LCM) of 29814 and 29820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29814 and 29820. First we will calculate the prime factors of 29814 and 29820.

Prime Factorization of 29814

Prime Factorization of 29820

Now multiplying the highest exponent prime factors to calculate the LCM of 29814 and 29820.

LCM(29814,29820) = 2² × 3¹ × 4969¹ × 5¹ × 7¹ × 71¹
LCM(29814,29820) = 148175580