What is the Least Common Multiple of 49604 and 49611?
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 49604 and 49611 is 2460904044.
LCM(49604,49611) = 2460904044
Least Common Multiple of 49604 and 49611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49604 and 49611, than apply into the LCM equation.
GCF(49604,49611) = 1
LCM(49604,49611) = ( 49604 × 49611) / 1
LCM(49604,49611) = 2460904044 / 1
LCM(49604,49611) = 2460904044
Least Common Multiple (LCM) of 49604 and 49611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49604 and 49611. First we will calculate the prime factors of 49604 and 49611.
Prime Factorization of 49604
Prime factors of 49604 are 2, 12401. Prime factorization of 49604 in exponential form is:
49604 = 22 × 124011
Prime Factorization of 49611
Prime factors of 49611 are 3, 23, 719. Prime factorization of 49611 in exponential form is:
49611 = 31 × 231 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 49604 and 49611.
LCM(49604,49611) = 22 × 124011 × 31 × 231 × 7191
LCM(49604,49611) = 2460904044
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