What is the Least Common Multiple of 63820 and 63832?
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 63820 and 63832 is 1018439560.
LCM(63820,63832) = 1018439560
Least Common Multiple of 63820 and 63832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63820 and 63832, than apply into the LCM equation.
GCF(63820,63832) = 4
LCM(63820,63832) = ( 63820 × 63832) / 4
LCM(63820,63832) = 4073758240 / 4
LCM(63820,63832) = 1018439560
Least Common Multiple (LCM) of 63820 and 63832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63820 and 63832. First we will calculate the prime factors of 63820 and 63832.
Prime Factorization of 63820
Prime factors of 63820 are 2, 5, 3191. Prime factorization of 63820 in exponential form is:
63820 = 22 × 51 × 31911
Prime Factorization of 63832
Prime factors of 63832 are 2, 79, 101. Prime factorization of 63832 in exponential form is:
63832 = 23 × 791 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 63820 and 63832.
LCM(63820,63832) = 23 × 51 × 31911 × 791 × 1011
LCM(63820,63832) = 1018439560
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