What is the Least Common Multiple of 59803 and 59807?
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 59803 and 59807 is 3576638021.
LCM(59803,59807) = 3576638021
Least Common Multiple of 59803 and 59807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59803 and 59807, than apply into the LCM equation.
GCF(59803,59807) = 1
LCM(59803,59807) = ( 59803 × 59807) / 1
LCM(59803,59807) = 3576638021 / 1
LCM(59803,59807) = 3576638021
Least Common Multiple (LCM) of 59803 and 59807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59803 and 59807. First we will calculate the prime factors of 59803 and 59807.
Prime Factorization of 59803
Prime factors of 59803 are 79, 757. Prime factorization of 59803 in exponential form is:
59803 = 791 × 7571
Prime Factorization of 59807
Prime factors of 59807 are 11, 5437. Prime factorization of 59807 in exponential form is:
59807 = 111 × 54371
Now multiplying the highest exponent prime factors to calculate the LCM of 59803 and 59807.
LCM(59803,59807) = 791 × 7571 × 111 × 54371
LCM(59803,59807) = 3576638021
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