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What is the Least Common Multiple of 73820 and 73838?

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 73820 and 73838 is 2725360580.

LCM(73820,73838) = 2725360580

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Least Common Multiple of 73820 and 73838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73820 and 73838, than apply into the LCM equation.

GCF(73820,73838) = 2
LCM(73820,73838) = ( 73820 × 73838) / 2
LCM(73820,73838) = 5450721160 / 2
LCM(73820,73838) = 2725360580

Least Common Multiple (LCM) of 73820 and 73838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73820 and 73838. First we will calculate the prime factors of 73820 and 73838.

Prime Factorization of 73820

Prime factors of 73820 are 2, 5, 3691. Prime factorization of 73820 in exponential form is:

73820 = 22 × 51 × 36911

Prime Factorization of 73838

Prime factors of 73838 are 2, 36919. Prime factorization of 73838 in exponential form is:

73838 = 21 × 369191

Now multiplying the highest exponent prime factors to calculate the LCM of 73820 and 73838.

LCM(73820,73838) = 22 × 51 × 36911 × 369191
LCM(73820,73838) = 2725360580