What is the Least Common Multiple of 42450 and 42470?

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 42450 and 42470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42450 and 42470, than apply into the LCM equation.

GCF(42450,42470) = 10
LCM(42450,42470) = ( 42450 × 42470) / 10
LCM(42450,42470) = 1802851500 / 10
LCM(42450,42470) = 180285150

Least Common Multiple (LCM) of 42450 and 42470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42450 and 42470. First we will calculate the prime factors of 42450 and 42470.

Prime Factorization of 42450

Prime Factorization of 42470

Now multiplying the highest exponent prime factors to calculate the LCM of 42450 and 42470.

LCM(42450,42470) = 2¹ × 3¹ × 5² × 283¹ × 31¹ × 137¹
LCM(42450,42470) = 180285150