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What is the Least Common Multiple of 80046 and 80050?

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 80046 and 80050 is 3203841150.

LCM(80046,80050) = 3203841150

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Least Common Multiple of 80046 and 80050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80046 and 80050, than apply into the LCM equation.

GCF(80046,80050) = 2
LCM(80046,80050) = ( 80046 × 80050) / 2
LCM(80046,80050) = 6407682300 / 2
LCM(80046,80050) = 3203841150

Least Common Multiple (LCM) of 80046 and 80050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80046 and 80050. First we will calculate the prime factors of 80046 and 80050.

Prime Factorization of 80046

Prime factors of 80046 are 2, 3, 4447. Prime factorization of 80046 in exponential form is:

80046 = 21 × 32 × 44471

Prime Factorization of 80050

Prime factors of 80050 are 2, 5, 1601. Prime factorization of 80050 in exponential form is:

80050 = 21 × 52 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 80046 and 80050.

LCM(80046,80050) = 21 × 32 × 44471 × 52 × 16011
LCM(80046,80050) = 3203841150