What is the Least Common Multiple of 609 and 616?
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 609 and 616 is 53592.
LCM(609,616) = 53592
Least Common Multiple of 609 and 616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 609 and 616, than apply into the LCM equation.
GCF(609,616) = 7
LCM(609,616) = ( 609 × 616) / 7
LCM(609,616) = 375144 / 7
LCM(609,616) = 53592
Least Common Multiple (LCM) of 609 and 616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 616. First we will calculate the prime factors of 609 and 616.
Prime Factorization of 609
Prime factors of 609 are 3, 7, 29. Prime factorization of 609 in exponential form is:
609 = 31 × 71 × 291
Prime Factorization of 616
Prime factors of 616 are 2, 7, 11. Prime factorization of 616 in exponential form is:
616 = 23 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 609 and 616.
LCM(609,616) = 31 × 71 × 291 × 23 × 111
LCM(609,616) = 53592
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