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What is the Least Common Multiple of 60537 and 60551?

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 60537 and 60551 is 3665575887.

LCM(60537,60551) = 3665575887

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Least Common Multiple of 60537 and 60551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60537 and 60551, than apply into the LCM equation.

GCF(60537,60551) = 1
LCM(60537,60551) = ( 60537 × 60551) / 1
LCM(60537,60551) = 3665575887 / 1
LCM(60537,60551) = 3665575887

Least Common Multiple (LCM) of 60537 and 60551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60537 and 60551. First we will calculate the prime factors of 60537 and 60551.

Prime Factorization of 60537

Prime factors of 60537 are 3, 17, 1187. Prime factorization of 60537 in exponential form is:

60537 = 31 × 171 × 11871

Prime Factorization of 60551

Prime factors of 60551 are 151, 401. Prime factorization of 60551 in exponential form is:

60551 = 1511 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 60537 and 60551.

LCM(60537,60551) = 31 × 171 × 11871 × 1511 × 4011
LCM(60537,60551) = 3665575887