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What is the Least Common Multiple of 30250 and 30262?

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 30250 and 30262 is 457712750.

LCM(30250,30262) = 457712750

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Least Common Multiple of 30250 and 30262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30250 and 30262, than apply into the LCM equation.

GCF(30250,30262) = 2
LCM(30250,30262) = ( 30250 × 30262) / 2
LCM(30250,30262) = 915425500 / 2
LCM(30250,30262) = 457712750

Least Common Multiple (LCM) of 30250 and 30262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30250 and 30262. First we will calculate the prime factors of 30250 and 30262.

Prime Factorization of 30250

Prime factors of 30250 are 2, 5, 11. Prime factorization of 30250 in exponential form is:

30250 = 21 × 53 × 112

Prime Factorization of 30262

Prime factors of 30262 are 2, 15131. Prime factorization of 30262 in exponential form is:

30262 = 21 × 151311

Now multiplying the highest exponent prime factors to calculate the LCM of 30250 and 30262.

LCM(30250,30262) = 21 × 53 × 112 × 151311
LCM(30250,30262) = 457712750