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What is the Least Common Multiple of 54755 and 54765?

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 54755 and 54765 is 599731515.

LCM(54755,54765) = 599731515

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Least Common Multiple of 54755 and 54765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54755 and 54765, than apply into the LCM equation.

GCF(54755,54765) = 5
LCM(54755,54765) = ( 54755 × 54765) / 5
LCM(54755,54765) = 2998657575 / 5
LCM(54755,54765) = 599731515

Least Common Multiple (LCM) of 54755 and 54765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54755 and 54765. First we will calculate the prime factors of 54755 and 54765.

Prime Factorization of 54755

Prime factors of 54755 are 5, 47, 233. Prime factorization of 54755 in exponential form is:

54755 = 51 × 471 × 2331

Prime Factorization of 54765

Prime factors of 54765 are 3, 5, 1217. Prime factorization of 54765 in exponential form is:

54765 = 32 × 51 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 54755 and 54765.

LCM(54755,54765) = 51 × 471 × 2331 × 32 × 12171
LCM(54755,54765) = 599731515