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What is the Least Common Multiple of 68270 and 68277?

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 68270 and 68277 is 4661270790.

LCM(68270,68277) = 4661270790

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Least Common Multiple of 68270 and 68277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68270 and 68277, than apply into the LCM equation.

GCF(68270,68277) = 1
LCM(68270,68277) = ( 68270 × 68277) / 1
LCM(68270,68277) = 4661270790 / 1
LCM(68270,68277) = 4661270790

Least Common Multiple (LCM) of 68270 and 68277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68270 and 68277. First we will calculate the prime factors of 68270 and 68277.

Prime Factorization of 68270

Prime factors of 68270 are 2, 5, 6827. Prime factorization of 68270 in exponential form is:

68270 = 21 × 51 × 68271

Prime Factorization of 68277

Prime factors of 68277 are 3, 11, 2069. Prime factorization of 68277 in exponential form is:

68277 = 31 × 111 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 68270 and 68277.

LCM(68270,68277) = 21 × 51 × 68271 × 31 × 111 × 20691
LCM(68270,68277) = 4661270790