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What is the Least Common Multiple of 77231 and 77237?

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 77231 and 77237 is 5965090747.

LCM(77231,77237) = 5965090747

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Least Common Multiple of 77231 and 77237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77231 and 77237, than apply into the LCM equation.

GCF(77231,77237) = 1
LCM(77231,77237) = ( 77231 × 77237) / 1
LCM(77231,77237) = 5965090747 / 1
LCM(77231,77237) = 5965090747

Least Common Multiple (LCM) of 77231 and 77237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77231 and 77237. First we will calculate the prime factors of 77231 and 77237.

Prime Factorization of 77231

Prime factors of 77231 are 7, 11, 17, 59. Prime factorization of 77231 in exponential form is:

77231 = 71 × 111 × 171 × 591

Prime Factorization of 77237

Prime factors of 77237 are 77237. Prime factorization of 77237 in exponential form is:

77237 = 772371

Now multiplying the highest exponent prime factors to calculate the LCM of 77231 and 77237.

LCM(77231,77237) = 71 × 111 × 171 × 591 × 772371
LCM(77231,77237) = 5965090747