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What is the Least Common Multiple of 60985 and 61003?

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 60985 and 61003 is 3720267955.

LCM(60985,61003) = 3720267955

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Least Common Multiple of 60985 and 61003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60985 and 61003, than apply into the LCM equation.

GCF(60985,61003) = 1
LCM(60985,61003) = ( 60985 × 61003) / 1
LCM(60985,61003) = 3720267955 / 1
LCM(60985,61003) = 3720267955

Least Common Multiple (LCM) of 60985 and 61003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60985 and 61003. First we will calculate the prime factors of 60985 and 61003.

Prime Factorization of 60985

Prime factors of 60985 are 5, 12197. Prime factorization of 60985 in exponential form is:

60985 = 51 × 121971

Prime Factorization of 61003

Prime factors of 61003 are 53, 1151. Prime factorization of 61003 in exponential form is:

61003 = 531 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 60985 and 61003.

LCM(60985,61003) = 51 × 121971 × 531 × 11511
LCM(60985,61003) = 3720267955