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What is the Least Common Multiple of 67100 and 67113?

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 67100 and 67113 is 4503282300.

LCM(67100,67113) = 4503282300

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Least Common Multiple of 67100 and 67113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67100 and 67113, than apply into the LCM equation.

GCF(67100,67113) = 1
LCM(67100,67113) = ( 67100 × 67113) / 1
LCM(67100,67113) = 4503282300 / 1
LCM(67100,67113) = 4503282300

Least Common Multiple (LCM) of 67100 and 67113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67100 and 67113. First we will calculate the prime factors of 67100 and 67113.

Prime Factorization of 67100

Prime factors of 67100 are 2, 5, 11, 61. Prime factorization of 67100 in exponential form is:

67100 = 22 × 52 × 111 × 611

Prime Factorization of 67113

Prime factors of 67113 are 3, 7457. Prime factorization of 67113 in exponential form is:

67113 = 32 × 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 67100 and 67113.

LCM(67100,67113) = 22 × 52 × 111 × 611 × 32 × 74571
LCM(67100,67113) = 4503282300