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What is the Least Common Multiple of 67622 and 67635?

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 67622 and 67635 is 4573613970.

LCM(67622,67635) = 4573613970

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Least Common Multiple of 67622 and 67635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67622 and 67635, than apply into the LCM equation.

GCF(67622,67635) = 1
LCM(67622,67635) = ( 67622 × 67635) / 1
LCM(67622,67635) = 4573613970 / 1
LCM(67622,67635) = 4573613970

Least Common Multiple (LCM) of 67622 and 67635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67622 and 67635. First we will calculate the prime factors of 67622 and 67635.

Prime Factorization of 67622

Prime factors of 67622 are 2, 33811. Prime factorization of 67622 in exponential form is:

67622 = 21 × 338111

Prime Factorization of 67635

Prime factors of 67635 are 3, 5, 167. Prime factorization of 67635 in exponential form is:

67635 = 34 × 51 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 67622 and 67635.

LCM(67622,67635) = 21 × 338111 × 34 × 51 × 1671
LCM(67622,67635) = 4573613970