What is the Least Common Multiple of 63920 and 63924?
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 63920 and 63924 is 1021505520.
LCM(63920,63924) = 1021505520
Least Common Multiple of 63920 and 63924 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63920 and 63924, than apply into the LCM equation.
GCF(63920,63924) = 4
LCM(63920,63924) = ( 63920 × 63924) / 4
LCM(63920,63924) = 4086022080 / 4
LCM(63920,63924) = 1021505520
Least Common Multiple (LCM) of 63920 and 63924 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63920 and 63924. First we will calculate the prime factors of 63920 and 63924.
Prime Factorization of 63920
Prime factors of 63920 are 2, 5, 17, 47. Prime factorization of 63920 in exponential form is:
63920 = 24 × 51 × 171 × 471
Prime Factorization of 63924
Prime factors of 63924 are 2, 3, 7, 761. Prime factorization of 63924 in exponential form is:
63924 = 22 × 31 × 71 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 63920 and 63924.
LCM(63920,63924) = 24 × 51 × 171 × 471 × 31 × 71 × 7611
LCM(63920,63924) = 1021505520
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