What is the Least Common Multiple of 2419 and 2425?
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 2419 and 2425 is 5866075.
LCM(2419,2425) = 5866075
Least Common Multiple of 2419 and 2425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2419 and 2425, than apply into the LCM equation.
GCF(2419,2425) = 1
LCM(2419,2425) = ( 2419 × 2425) / 1
LCM(2419,2425) = 5866075 / 1
LCM(2419,2425) = 5866075
Least Common Multiple (LCM) of 2419 and 2425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2419 and 2425. First we will calculate the prime factors of 2419 and 2425.
Prime Factorization of 2419
Prime factors of 2419 are 41, 59. Prime factorization of 2419 in exponential form is:
2419 = 411 × 591
Prime Factorization of 2425
Prime factors of 2425 are 5, 97. Prime factorization of 2425 in exponential form is:
2425 = 52 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 2419 and 2425.
LCM(2419,2425) = 411 × 591 × 52 × 971
LCM(2419,2425) = 5866075
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