What is the Least Common Multiple of 29190 and 29207?

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 29190 and 29207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29190 and 29207, than apply into the LCM equation.

GCF(29190,29207) = 1
LCM(29190,29207) = ( 29190 × 29207) / 1
LCM(29190,29207) = 852552330 / 1
LCM(29190,29207) = 852552330

Least Common Multiple (LCM) of 29190 and 29207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29190 and 29207. First we will calculate the prime factors of 29190 and 29207.

Prime Factorization of 29190

Prime Factorization of 29207

Now multiplying the highest exponent prime factors to calculate the LCM of 29190 and 29207.

LCM(29190,29207) = 2¹ × 3¹ × 5¹ × 7¹ × 139¹ × 29207¹
LCM(29190,29207) = 852552330