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What is the Least Common Multiple of 30270 and 30277?

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 30270 and 30277 is 916484790.

LCM(30270,30277) = 916484790

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Least Common Multiple of 30270 and 30277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30270 and 30277, than apply into the LCM equation.

GCF(30270,30277) = 1
LCM(30270,30277) = ( 30270 × 30277) / 1
LCM(30270,30277) = 916484790 / 1
LCM(30270,30277) = 916484790

Least Common Multiple (LCM) of 30270 and 30277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30270 and 30277. First we will calculate the prime factors of 30270 and 30277.

Prime Factorization of 30270

Prime factors of 30270 are 2, 3, 5, 1009. Prime factorization of 30270 in exponential form is:

30270 = 21 × 31 × 51 × 10091

Prime Factorization of 30277

Prime factors of 30277 are 13, 17, 137. Prime factorization of 30277 in exponential form is:

30277 = 131 × 171 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 30270 and 30277.

LCM(30270,30277) = 21 × 31 × 51 × 10091 × 131 × 171 × 1371
LCM(30270,30277) = 916484790