GCF and LCM Calculator Logo

What is the Least Common Multiple of 67427 and 67435?

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 (LCM) of 67427 and 67435 is 4546939745.

LCM(67427,67435) = 4546939745

LCM Calculator and
and

Least Common Multiple of 67427 and 67435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67427 and 67435, than apply into the LCM equation.

GCF(67427,67435) = 1
LCM(67427,67435) = ( 67427 × 67435) / 1
LCM(67427,67435) = 4546939745 / 1
LCM(67427,67435) = 4546939745

Least Common Multiple (LCM) of 67427 and 67435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67427 and 67435. First we will calculate the prime factors of 67427 and 67435.

Prime Factorization of 67427

Prime factors of 67427 are 67427. Prime factorization of 67427 in exponential form is:

67427 = 674271

Prime Factorization of 67435

Prime factors of 67435 are 5, 13487. Prime factorization of 67435 in exponential form is:

67435 = 51 × 134871

Now multiplying the highest exponent prime factors to calculate the LCM of 67427 and 67435.

LCM(67427,67435) = 674271 × 51 × 134871
LCM(67427,67435) = 4546939745