What is the Least Common Multiple of 42290 and 42308?

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 42290 and 42308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42290 and 42308, than apply into the LCM equation.

GCF(42290,42308) = 2
LCM(42290,42308) = ( 42290 × 42308) / 2
LCM(42290,42308) = 1789205320 / 2
LCM(42290,42308) = 894602660

Least Common Multiple (LCM) of 42290 and 42308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42290 and 42308. First we will calculate the prime factors of 42290 and 42308.

Prime Factorization of 42290

Prime Factorization of 42308

Now multiplying the highest exponent prime factors to calculate the LCM of 42290 and 42308.

LCM(42290,42308) = 2² × 5¹ × 4229¹ × 7¹ × 1511¹
LCM(42290,42308) = 894602660