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What is the Least Common Multiple of 60193 and 60206?

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 60193 and 60206 is 3623979758.

LCM(60193,60206) = 3623979758

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Least Common Multiple of 60193 and 60206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60193 and 60206, than apply into the LCM equation.

GCF(60193,60206) = 1
LCM(60193,60206) = ( 60193 × 60206) / 1
LCM(60193,60206) = 3623979758 / 1
LCM(60193,60206) = 3623979758

Least Common Multiple (LCM) of 60193 and 60206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60193 and 60206. First we will calculate the prime factors of 60193 and 60206.

Prime Factorization of 60193

Prime factors of 60193 are 7, 8599. Prime factorization of 60193 in exponential form is:

60193 = 71 × 85991

Prime Factorization of 60206

Prime factors of 60206 are 2, 30103. Prime factorization of 60206 in exponential form is:

60206 = 21 × 301031

Now multiplying the highest exponent prime factors to calculate the LCM of 60193 and 60206.

LCM(60193,60206) = 71 × 85991 × 21 × 301031
LCM(60193,60206) = 3623979758