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What is the Least Common Multiple of 30202 and 30214?

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 30202 and 30214 is 456261614.

LCM(30202,30214) = 456261614

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Least Common Multiple of 30202 and 30214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30202 and 30214, than apply into the LCM equation.

GCF(30202,30214) = 2
LCM(30202,30214) = ( 30202 × 30214) / 2
LCM(30202,30214) = 912523228 / 2
LCM(30202,30214) = 456261614

Least Common Multiple (LCM) of 30202 and 30214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30202 and 30214. First we will calculate the prime factors of 30202 and 30214.

Prime Factorization of 30202

Prime factors of 30202 are 2, 15101. Prime factorization of 30202 in exponential form is:

30202 = 21 × 151011

Prime Factorization of 30214

Prime factors of 30214 are 2, 15107. Prime factorization of 30214 in exponential form is:

30214 = 21 × 151071

Now multiplying the highest exponent prime factors to calculate the LCM of 30202 and 30214.

LCM(30202,30214) = 21 × 151011 × 151071
LCM(30202,30214) = 456261614