What is the Least Common Multiple of 63762 and 63766?
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 63762 and 63766 is 2032923846.
LCM(63762,63766) = 2032923846
Least Common Multiple of 63762 and 63766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63762 and 63766, than apply into the LCM equation.
GCF(63762,63766) = 2
LCM(63762,63766) = ( 63762 × 63766) / 2
LCM(63762,63766) = 4065847692 / 2
LCM(63762,63766) = 2032923846
Least Common Multiple (LCM) of 63762 and 63766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63762 and 63766. First we will calculate the prime factors of 63762 and 63766.
Prime Factorization of 63762
Prime factors of 63762 are 2, 3, 10627. Prime factorization of 63762 in exponential form is:
63762 = 21 × 31 × 106271
Prime Factorization of 63766
Prime factors of 63766 are 2, 31883. Prime factorization of 63766 in exponential form is:
63766 = 21 × 318831
Now multiplying the highest exponent prime factors to calculate the LCM of 63762 and 63766.
LCM(63762,63766) = 21 × 31 × 106271 × 318831
LCM(63762,63766) = 2032923846
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