What is the Least Common Multiple of 49597 and 49603?
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 49597 and 49603 is 2460159991.
LCM(49597,49603) = 2460159991
Least Common Multiple of 49597 and 49603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49597 and 49603, than apply into the LCM equation.
GCF(49597,49603) = 1
LCM(49597,49603) = ( 49597 × 49603) / 1
LCM(49597,49603) = 2460159991 / 1
LCM(49597,49603) = 2460159991
Least Common Multiple (LCM) of 49597 and 49603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49597 and 49603. First we will calculate the prime factors of 49597 and 49603.
Prime Factorization of 49597
Prime factors of 49597 are 49597. Prime factorization of 49597 in exponential form is:
49597 = 495971
Prime Factorization of 49603
Prime factors of 49603 are 49603. Prime factorization of 49603 in exponential form is:
49603 = 496031
Now multiplying the highest exponent prime factors to calculate the LCM of 49597 and 49603.
LCM(49597,49603) = 495971 × 496031
LCM(49597,49603) = 2460159991
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