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What is the Least Common Multiple of 74529 and 74542?

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 74529 and 74542 is 427349286.

LCM(74529,74542) = 427349286

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Least Common Multiple of 74529 and 74542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74529 and 74542, than apply into the LCM equation.

GCF(74529,74542) = 13
LCM(74529,74542) = ( 74529 × 74542) / 13
LCM(74529,74542) = 5555540718 / 13
LCM(74529,74542) = 427349286

Least Common Multiple (LCM) of 74529 and 74542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74529 and 74542. First we will calculate the prime factors of 74529 and 74542.

Prime Factorization of 74529

Prime factors of 74529 are 3, 7, 13. Prime factorization of 74529 in exponential form is:

74529 = 32 × 72 × 132

Prime Factorization of 74542

Prime factors of 74542 are 2, 13, 47, 61. Prime factorization of 74542 in exponential form is:

74542 = 21 × 131 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 74529 and 74542.

LCM(74529,74542) = 32 × 72 × 132 × 21 × 471 × 611
LCM(74529,74542) = 427349286