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What is the Least Common Multiple of 73922 and 73942?

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 73922 and 73942 is 2732970262.

LCM(73922,73942) = 2732970262

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Least Common Multiple of 73922 and 73942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73922 and 73942, than apply into the LCM equation.

GCF(73922,73942) = 2
LCM(73922,73942) = ( 73922 × 73942) / 2
LCM(73922,73942) = 5465940524 / 2
LCM(73922,73942) = 2732970262

Least Common Multiple (LCM) of 73922 and 73942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73922 and 73942. First we will calculate the prime factors of 73922 and 73942.

Prime Factorization of 73922

Prime factors of 73922 are 2, 23, 1607. Prime factorization of 73922 in exponential form is:

73922 = 21 × 231 × 16071

Prime Factorization of 73942

Prime factors of 73942 are 2, 11, 3361. Prime factorization of 73942 in exponential form is:

73942 = 21 × 111 × 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 73922 and 73942.

LCM(73922,73942) = 21 × 231 × 16071 × 111 × 33611
LCM(73922,73942) = 2732970262