What is the Least Common Multiple of 608 and 624?
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 608 and 624 is 23712.
LCM(608,624) = 23712
Least Common Multiple of 608 and 624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 608 and 624, than apply into the LCM equation.
GCF(608,624) = 16
LCM(608,624) = ( 608 × 624) / 16
LCM(608,624) = 379392 / 16
LCM(608,624) = 23712
Least Common Multiple (LCM) of 608 and 624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 624. First we will calculate the prime factors of 608 and 624.
Prime Factorization of 608
Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:
608 = 25 × 191
Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 624.
LCM(608,624) = 25 × 191 × 31 × 131
LCM(608,624) = 23712
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