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What is the Least Common Multiple of 60973 and 60988?

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 60973 and 60988 is 3718621324.

LCM(60973,60988) = 3718621324

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Least Common Multiple of 60973 and 60988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60973 and 60988, than apply into the LCM equation.

GCF(60973,60988) = 1
LCM(60973,60988) = ( 60973 × 60988) / 1
LCM(60973,60988) = 3718621324 / 1
LCM(60973,60988) = 3718621324

Least Common Multiple (LCM) of 60973 and 60988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60973 and 60988. First we will calculate the prime factors of 60973 and 60988.

Prime Factorization of 60973

Prime factors of 60973 are 11, 23, 241. Prime factorization of 60973 in exponential form is:

60973 = 111 × 231 × 2411

Prime Factorization of 60988

Prime factors of 60988 are 2, 79, 193. Prime factorization of 60988 in exponential form is:

60988 = 22 × 791 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 60973 and 60988.

LCM(60973,60988) = 111 × 231 × 2411 × 22 × 791 × 1931
LCM(60973,60988) = 3718621324