What is the Least Common Multiple of 42280 and 42285?

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 42280 and 42285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42280 and 42285, than apply into the LCM equation.

GCF(42280,42285) = 5
LCM(42280,42285) = ( 42280 × 42285) / 5
LCM(42280,42285) = 1787809800 / 5
LCM(42280,42285) = 357561960

Least Common Multiple (LCM) of 42280 and 42285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42280 and 42285. First we will calculate the prime factors of 42280 and 42285.

Prime Factorization of 42280

Prime Factorization of 42285

Now multiplying the highest exponent prime factors to calculate the LCM of 42280 and 42285.

LCM(42280,42285) = 2³ × 5¹ × 7¹ × 151¹ × 3¹ × 2819¹
LCM(42280,42285) = 357561960