What is the Least Common Multiple of 42112 and 42121?

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 42112 and 42121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42112 and 42121, than apply into the LCM equation.

GCF(42112,42121) = 1
LCM(42112,42121) = ( 42112 × 42121) / 1
LCM(42112,42121) = 1773799552 / 1
LCM(42112,42121) = 1773799552

Least Common Multiple (LCM) of 42112 and 42121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42112 and 42121. First we will calculate the prime factors of 42112 and 42121.

Prime Factorization of 42112

Prime Factorization of 42121

Now multiplying the highest exponent prime factors to calculate the LCM of 42112 and 42121.

LCM(42112,42121) = 2⁷ × 7¹ × 47¹ × 73¹ × 577¹
LCM(42112,42121) = 1773799552