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What is the Least Common Multiple of 60551 and 60567?

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 60551 and 60567 is 3667392417.

LCM(60551,60567) = 3667392417

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Least Common Multiple of 60551 and 60567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60551 and 60567, than apply into the LCM equation.

GCF(60551,60567) = 1
LCM(60551,60567) = ( 60551 × 60567) / 1
LCM(60551,60567) = 3667392417 / 1
LCM(60551,60567) = 3667392417

Least Common Multiple (LCM) of 60551 and 60567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60551 and 60567. First we will calculate the prime factors of 60551 and 60567.

Prime Factorization of 60551

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

60551 = 1511 × 4011

Prime Factorization of 60567

Prime factors of 60567 are 3, 13, 1553. Prime factorization of 60567 in exponential form is:

60567 = 31 × 131 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 60551 and 60567.

LCM(60551,60567) = 1511 × 4011 × 31 × 131 × 15531
LCM(60551,60567) = 3667392417