GCF and LCM Calculator Logo

What is the Least Common Multiple of 67645 and 67662?

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 67645 and 67662 is 4576995990.

LCM(67645,67662) = 4576995990

LCM Calculator and
and

Least Common Multiple of 67645 and 67662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67645 and 67662, than apply into the LCM equation.

GCF(67645,67662) = 1
LCM(67645,67662) = ( 67645 × 67662) / 1
LCM(67645,67662) = 4576995990 / 1
LCM(67645,67662) = 4576995990

Least Common Multiple (LCM) of 67645 and 67662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67645 and 67662. First we will calculate the prime factors of 67645 and 67662.

Prime Factorization of 67645

Prime factors of 67645 are 5, 83, 163. Prime factorization of 67645 in exponential form is:

67645 = 51 × 831 × 1631

Prime Factorization of 67662

Prime factors of 67662 are 2, 3, 7, 179. Prime factorization of 67662 in exponential form is:

67662 = 21 × 33 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 67645 and 67662.

LCM(67645,67662) = 51 × 831 × 1631 × 21 × 33 × 71 × 1791
LCM(67645,67662) = 4576995990