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What is the Least Common Multiple of 30086 and 30101?

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 30086 and 30101 is 905618686.

LCM(30086,30101) = 905618686

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Least Common Multiple of 30086 and 30101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30086 and 30101, than apply into the LCM equation.

GCF(30086,30101) = 1
LCM(30086,30101) = ( 30086 × 30101) / 1
LCM(30086,30101) = 905618686 / 1
LCM(30086,30101) = 905618686

Least Common Multiple (LCM) of 30086 and 30101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30086 and 30101. First we will calculate the prime factors of 30086 and 30101.

Prime Factorization of 30086

Prime factors of 30086 are 2, 7, 307. Prime factorization of 30086 in exponential form is:

30086 = 21 × 72 × 3071

Prime Factorization of 30101

Prime factors of 30101 are 31, 971. Prime factorization of 30101 in exponential form is:

30101 = 311 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 30086 and 30101.

LCM(30086,30101) = 21 × 72 × 3071 × 311 × 9711
LCM(30086,30101) = 905618686