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What is the Least Common Multiple of 73942 and 73951?

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 73942 and 73951 is 5468084842.

LCM(73942,73951) = 5468084842

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Least Common Multiple of 73942 and 73951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73942 and 73951, than apply into the LCM equation.

GCF(73942,73951) = 1
LCM(73942,73951) = ( 73942 × 73951) / 1
LCM(73942,73951) = 5468084842 / 1
LCM(73942,73951) = 5468084842

Least Common Multiple (LCM) of 73942 and 73951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73942 and 73951. First we will calculate the prime factors of 73942 and 73951.

Prime Factorization of 73942

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

73942 = 21 × 111 × 33611

Prime Factorization of 73951

Prime factors of 73951 are 73951. Prime factorization of 73951 in exponential form is:

73951 = 739511

Now multiplying the highest exponent prime factors to calculate the LCM of 73942 and 73951.

LCM(73942,73951) = 21 × 111 × 33611 × 739511
LCM(73942,73951) = 5468084842