What is the Least Common Multiple of 29680 and 29692?

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 29680 and 29692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29680 and 29692, than apply into the LCM equation.

GCF(29680,29692) = 4
LCM(29680,29692) = ( 29680 × 29692) / 4
LCM(29680,29692) = 881258560 / 4
LCM(29680,29692) = 220314640

Least Common Multiple (LCM) of 29680 and 29692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29680 and 29692. First we will calculate the prime factors of 29680 and 29692.

Prime Factorization of 29680

Prime Factorization of 29692

Now multiplying the highest exponent prime factors to calculate the LCM of 29680 and 29692.

LCM(29680,29692) = 2⁴ × 5¹ × 7¹ × 53¹ × 13¹ × 571¹
LCM(29680,29692) = 220314640