What is the Least Common Multiple of 40290 and 40302?

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 40290 and 40302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40290 and 40302, than apply into the LCM equation.

GCF(40290,40302) = 6
LCM(40290,40302) = ( 40290 × 40302) / 6
LCM(40290,40302) = 1623767580 / 6
LCM(40290,40302) = 270627930

Least Common Multiple (LCM) of 40290 and 40302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40290 and 40302. First we will calculate the prime factors of 40290 and 40302.

Prime Factorization of 40290

Prime Factorization of 40302

Now multiplying the highest exponent prime factors to calculate the LCM of 40290 and 40302.

LCM(40290,40302) = 2¹ × 3² × 5¹ × 17¹ × 79¹ × 2239¹
LCM(40290,40302) = 270627930