What is the Least Common Multiple of 74736 and 74754?
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 74736 and 74754 is 310378608.
LCM(74736,74754) = 310378608
Least Common Multiple of 74736 and 74754 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74736 and 74754, than apply into the LCM equation.
GCF(74736,74754) = 18
LCM(74736,74754) = ( 74736 × 74754) / 18
LCM(74736,74754) = 5586814944 / 18
LCM(74736,74754) = 310378608
Least Common Multiple (LCM) of 74736 and 74754 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74736 and 74754. First we will calculate the prime factors of 74736 and 74754.
Prime Factorization of 74736
Prime factors of 74736 are 2, 3, 173. Prime factorization of 74736 in exponential form is:
74736 = 24 × 33 × 1731
Prime Factorization of 74754
Prime factors of 74754 are 2, 3, 4153. Prime factorization of 74754 in exponential form is:
74754 = 21 × 32 × 41531
Now multiplying the highest exponent prime factors to calculate the LCM of 74736 and 74754.
LCM(74736,74754) = 24 × 33 × 1731 × 41531
LCM(74736,74754) = 310378608
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