What is the Least Common Multiple of 4915 and 4929?
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 4915 and 4929 is 24226035.
LCM(4915,4929) = 24226035
Least Common Multiple of 4915 and 4929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4915 and 4929, than apply into the LCM equation.
GCF(4915,4929) = 1
LCM(4915,4929) = ( 4915 × 4929) / 1
LCM(4915,4929) = 24226035 / 1
LCM(4915,4929) = 24226035
Least Common Multiple (LCM) of 4915 and 4929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4915 and 4929. First we will calculate the prime factors of 4915 and 4929.
Prime Factorization of 4915
Prime factors of 4915 are 5, 983. Prime factorization of 4915 in exponential form is:
4915 = 51 × 9831
Prime Factorization of 4929
Prime factors of 4929 are 3, 31, 53. Prime factorization of 4929 in exponential form is:
4929 = 31 × 311 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 4915 and 4929.
LCM(4915,4929) = 51 × 9831 × 31 × 311 × 531
LCM(4915,4929) = 24226035
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