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What is the Least Common Multiple of 68213 and 68230?

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 68213 and 68230 is 4654172990.

LCM(68213,68230) = 4654172990

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Least Common Multiple of 68213 and 68230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68213 and 68230, than apply into the LCM equation.

GCF(68213,68230) = 1
LCM(68213,68230) = ( 68213 × 68230) / 1
LCM(68213,68230) = 4654172990 / 1
LCM(68213,68230) = 4654172990

Least Common Multiple (LCM) of 68213 and 68230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68213 and 68230. First we will calculate the prime factors of 68213 and 68230.

Prime Factorization of 68213

Prime factors of 68213 are 68213. Prime factorization of 68213 in exponential form is:

68213 = 682131

Prime Factorization of 68230

Prime factors of 68230 are 2, 5, 6823. Prime factorization of 68230 in exponential form is:

68230 = 21 × 51 × 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 68213 and 68230.

LCM(68213,68230) = 682131 × 21 × 51 × 68231
LCM(68213,68230) = 4654172990