What is the Least Common Multiple of 50652 and 50672?
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 50652 and 50672 is 641659536.
LCM(50652,50672) = 641659536
Least Common Multiple of 50652 and 50672 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50652 and 50672, than apply into the LCM equation.
GCF(50652,50672) = 4
LCM(50652,50672) = ( 50652 × 50672) / 4
LCM(50652,50672) = 2566638144 / 4
LCM(50652,50672) = 641659536
Least Common Multiple (LCM) of 50652 and 50672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50652 and 50672. First we will calculate the prime factors of 50652 and 50672.
Prime Factorization of 50652
Prime factors of 50652 are 2, 3, 7, 67. Prime factorization of 50652 in exponential form is:
50652 = 22 × 33 × 71 × 671
Prime Factorization of 50672
Prime factors of 50672 are 2, 3167. Prime factorization of 50672 in exponential form is:
50672 = 24 × 31671
Now multiplying the highest exponent prime factors to calculate the LCM of 50652 and 50672.
LCM(50652,50672) = 24 × 33 × 71 × 671 × 31671
LCM(50652,50672) = 641659536
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