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What is the Least Common Multiple of 60962 and 60973?

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 60962 and 60973 is 337912366.

LCM(60962,60973) = 337912366

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Least Common Multiple of 60962 and 60973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60962 and 60973, than apply into the LCM equation.

GCF(60962,60973) = 11
LCM(60962,60973) = ( 60962 × 60973) / 11
LCM(60962,60973) = 3717036026 / 11
LCM(60962,60973) = 337912366

Least Common Multiple (LCM) of 60962 and 60973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60962 and 60973. First we will calculate the prime factors of 60962 and 60973.

Prime Factorization of 60962

Prime factors of 60962 are 2, 11, 17, 163. Prime factorization of 60962 in exponential form is:

60962 = 21 × 111 × 171 × 1631

Prime Factorization of 60973

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

60973 = 111 × 231 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 60962 and 60973.

LCM(60962,60973) = 21 × 111 × 171 × 1631 × 231 × 2411
LCM(60962,60973) = 337912366