GCF and LCM Calculator Logo

What is the Least Common Multiple of 67603 and 67620?

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 67603 and 67620 is 4571314860.

LCM(67603,67620) = 4571314860

LCM Calculator and
and

Least Common Multiple of 67603 and 67620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67603 and 67620, than apply into the LCM equation.

GCF(67603,67620) = 1
LCM(67603,67620) = ( 67603 × 67620) / 1
LCM(67603,67620) = 4571314860 / 1
LCM(67603,67620) = 4571314860

Least Common Multiple (LCM) of 67603 and 67620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67603 and 67620. First we will calculate the prime factors of 67603 and 67620.

Prime Factorization of 67603

Prime factors of 67603 are 67, 1009. Prime factorization of 67603 in exponential form is:

67603 = 671 × 10091

Prime Factorization of 67620

Prime factors of 67620 are 2, 3, 5, 7, 23. Prime factorization of 67620 in exponential form is:

67620 = 22 × 31 × 51 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 67603 and 67620.

LCM(67603,67620) = 671 × 10091 × 22 × 31 × 51 × 72 × 231
LCM(67603,67620) = 4571314860