What is the Least Common Multiple of 423 and 435?
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 423 and 435 is 61335.
LCM(423,435) = 61335
Least Common Multiple of 423 and 435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 435, than apply into the LCM equation.
GCF(423,435) = 3
LCM(423,435) = ( 423 × 435) / 3
LCM(423,435) = 184005 / 3
LCM(423,435) = 61335
Least Common Multiple (LCM) of 423 and 435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 435. First we will calculate the prime factors of 423 and 435.
Prime Factorization of 423
Prime factors of 423 are 3, 47. Prime factorization of 423 in exponential form is:
423 = 32 × 471
Prime Factorization of 435
Prime factors of 435 are 3, 5, 29. Prime factorization of 435 in exponential form is:
435 = 31 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 423 and 435.
LCM(423,435) = 32 × 471 × 51 × 291
LCM(423,435) = 61335
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