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What is the Least Common Multiple of 30122 and 30132?

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 30122 and 30132 is 453818052.

LCM(30122,30132) = 453818052

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Least Common Multiple of 30122 and 30132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30122 and 30132, than apply into the LCM equation.

GCF(30122,30132) = 2
LCM(30122,30132) = ( 30122 × 30132) / 2
LCM(30122,30132) = 907636104 / 2
LCM(30122,30132) = 453818052

Least Common Multiple (LCM) of 30122 and 30132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30122 and 30132. First we will calculate the prime factors of 30122 and 30132.

Prime Factorization of 30122

Prime factors of 30122 are 2, 15061. Prime factorization of 30122 in exponential form is:

30122 = 21 × 150611

Prime Factorization of 30132

Prime factors of 30132 are 2, 3, 31. Prime factorization of 30132 in exponential form is:

30132 = 22 × 35 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 30122 and 30132.

LCM(30122,30132) = 22 × 150611 × 35 × 311
LCM(30122,30132) = 453818052