What is the Least Common Multiple of 67076 and 67094?

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 67076 and 67094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67076 and 67094, than apply into the LCM equation.

GCF(67076,67094) = 2
LCM(67076,67094) = ( 67076 × 67094) / 2
LCM(67076,67094) = 4500397144 / 2
LCM(67076,67094) = 2250198572

Least Common Multiple (LCM) of 67076 and 67094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67076 and 67094. First we will calculate the prime factors of 67076 and 67094.

Prime Factorization of 67076

Prime Factorization of 67094

Now multiplying the highest exponent prime factors to calculate the LCM of 67076 and 67094.

LCM(67076,67094) = 2² × 41¹ × 409¹ × 33547¹
LCM(67076,67094) = 2250198572