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What is the Least Common Multiple of 60046 and 60050?

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 60046 and 60050 is 1802881150.

LCM(60046,60050) = 1802881150

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Least Common Multiple of 60046 and 60050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60046 and 60050, than apply into the LCM equation.

GCF(60046,60050) = 2
LCM(60046,60050) = ( 60046 × 60050) / 2
LCM(60046,60050) = 3605762300 / 2
LCM(60046,60050) = 1802881150

Least Common Multiple (LCM) of 60046 and 60050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60046 and 60050. First we will calculate the prime factors of 60046 and 60050.

Prime Factorization of 60046

Prime factors of 60046 are 2, 7, 4289. Prime factorization of 60046 in exponential form is:

60046 = 21 × 71 × 42891

Prime Factorization of 60050

Prime factors of 60050 are 2, 5, 1201. Prime factorization of 60050 in exponential form is:

60050 = 21 × 52 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 60046 and 60050.

LCM(60046,60050) = 21 × 71 × 42891 × 52 × 12011
LCM(60046,60050) = 1802881150