What is the Least Common Multiple of 35295 and 35307?

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 35295 and 35307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35295 and 35307, than apply into the LCM equation.

GCF(35295,35307) = 3
LCM(35295,35307) = ( 35295 × 35307) / 3
LCM(35295,35307) = 1246160565 / 3
LCM(35295,35307) = 415386855

Least Common Multiple (LCM) of 35295 and 35307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35295 and 35307. First we will calculate the prime factors of 35295 and 35307.

Prime Factorization of 35295

Prime Factorization of 35307

Now multiplying the highest exponent prime factors to calculate the LCM of 35295 and 35307.

LCM(35295,35307) = 3² × 5¹ × 13¹ × 181¹ × 3923¹
LCM(35295,35307) = 415386855