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What is the Least Common Multiple of 67545 and 67550?

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 67545 and 67550 is 912532950.

LCM(67545,67550) = 912532950

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Least Common Multiple of 67545 and 67550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67545 and 67550, than apply into the LCM equation.

GCF(67545,67550) = 5
LCM(67545,67550) = ( 67545 × 67550) / 5
LCM(67545,67550) = 4562664750 / 5
LCM(67545,67550) = 912532950

Least Common Multiple (LCM) of 67545 and 67550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67545 and 67550. First we will calculate the prime factors of 67545 and 67550.

Prime Factorization of 67545

Prime factors of 67545 are 3, 5, 19, 79. Prime factorization of 67545 in exponential form is:

67545 = 32 × 51 × 191 × 791

Prime Factorization of 67550

Prime factors of 67550 are 2, 5, 7, 193. Prime factorization of 67550 in exponential form is:

67550 = 21 × 52 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 67545 and 67550.

LCM(67545,67550) = 32 × 52 × 191 × 791 × 21 × 71 × 1931
LCM(67545,67550) = 912532950