What is the Least Common Multiple of 536 and 549?
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 536 and 549 is 294264.
LCM(536,549) = 294264
Least Common Multiple of 536 and 549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 536 and 549, than apply into the LCM equation.
GCF(536,549) = 1
LCM(536,549) = ( 536 × 549) / 1
LCM(536,549) = 294264 / 1
LCM(536,549) = 294264
Least Common Multiple (LCM) of 536 and 549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 549. First we will calculate the prime factors of 536 and 549.
Prime Factorization of 536
Prime factors of 536 are 2, 67. Prime factorization of 536 in exponential form is:
536 = 23 × 671
Prime Factorization of 549
Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:
549 = 32 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 549.
LCM(536,549) = 23 × 671 × 32 × 611
LCM(536,549) = 294264
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