What is the Least Common Multiple of 42080 and 42094?

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 42080 and 42094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42080 and 42094, than apply into the LCM equation.

GCF(42080,42094) = 2
LCM(42080,42094) = ( 42080 × 42094) / 2
LCM(42080,42094) = 1771315520 / 2
LCM(42080,42094) = 885657760

Least Common Multiple (LCM) of 42080 and 42094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42080 and 42094. First we will calculate the prime factors of 42080 and 42094.

Prime Factorization of 42080

Prime Factorization of 42094

Now multiplying the highest exponent prime factors to calculate the LCM of 42080 and 42094.

LCM(42080,42094) = 2⁵ × 5¹ × 263¹ × 13¹ × 1619¹
LCM(42080,42094) = 885657760