What is the Least Common Multiple of 915 and 924?
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 915 and 924 is 281820.
LCM(915,924) = 281820
Least Common Multiple of 915 and 924 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 915 and 924, than apply into the LCM equation.
GCF(915,924) = 3
LCM(915,924) = ( 915 × 924) / 3
LCM(915,924) = 845460 / 3
LCM(915,924) = 281820
Least Common Multiple (LCM) of 915 and 924 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 924. First we will calculate the prime factors of 915 and 924.
Prime Factorization of 915
Prime factors of 915 are 3, 5, 61. Prime factorization of 915 in exponential form is:
915 = 31 × 51 × 611
Prime Factorization of 924
Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:
924 = 22 × 31 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 924.
LCM(915,924) = 31 × 51 × 611 × 22 × 71 × 111
LCM(915,924) = 281820
Related Least Common Multiples of 915
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Related Least Common Multiples of 924
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