What is the Least Common Multiple of 22302 and 22307?

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 22302 and 22307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22302 and 22307, than apply into the LCM equation.

GCF(22302,22307) = 1
LCM(22302,22307) = ( 22302 × 22307) / 1
LCM(22302,22307) = 497490714 / 1
LCM(22302,22307) = 497490714

Least Common Multiple (LCM) of 22302 and 22307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22302 and 22307. First we will calculate the prime factors of 22302 and 22307.

Prime Factorization of 22302

Prime Factorization of 22307

Now multiplying the highest exponent prime factors to calculate the LCM of 22302 and 22307.

LCM(22302,22307) = 2¹ × 3³ × 7¹ × 59¹ × 22307¹
LCM(22302,22307) = 497490714